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What is the Least Common Multiple of 37479 and 37495?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 37479 and 37495 is 1405275105.

LCM(37479,37495) = 1405275105

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Least Common Multiple of 37479 and 37495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37479 and 37495, than apply into the LCM equation.

GCF(37479,37495) = 1
LCM(37479,37495) = ( 37479 × 37495) / 1
LCM(37479,37495) = 1405275105 / 1
LCM(37479,37495) = 1405275105

Least Common Multiple (LCM) of 37479 and 37495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37479 and 37495. First we will calculate the prime factors of 37479 and 37495.

Prime Factorization of 37479

Prime factors of 37479 are 3, 13, 31. Prime factorization of 37479 in exponential form is:

37479 = 31 × 131 × 312

Prime Factorization of 37495

Prime factors of 37495 are 5, 7499. Prime factorization of 37495 in exponential form is:

37495 = 51 × 74991

Now multiplying the highest exponent prime factors to calculate the LCM of 37479 and 37495.

LCM(37479,37495) = 31 × 131 × 312 × 51 × 74991
LCM(37479,37495) = 1405275105